Begin by examining the data set. Recognize how the data is recorded and how you may be able to use the given data to explore potential relationships between categories.
Scatterplot Questions
1. Create a scatterplot using categories that you feel may influence fuel efficiency. Answer the following questions.
Identify the two categories you chose and why you thought there might be a relationship between the two BEFORE creating the scatterplot?
Answer:Weight, Average MPG
Create the scatterplot. Which category is your x-axis and which is your y-axis? Why did you create your scatterplot in that order?
Answer:X= Weight Y=Average MPG. Created that order to see the slope
Do you believe there is a relationship between the two categories? Why or why not?
Answer:Yes, the lighter the car the better the average mpg
If there appears to be a relationship, does it have a positive or negative slope? What does this mean about the relationship between the two categories?
Answer:Negative slope, as the weight increases the mpgs drop
Regression Questions
Create the linear regession equation in Excel. Include both the equation and the r2 value on the graph. Answer the following questions.
What is your regression equation? Explain what the equation means in relation to the categories.
Answer:The heavier the vehicle the lower the mpg.
What is your r2 value? Is this a strong correlation? Why or Why not?
Answer:0.7042 Yes,as the weight increases the mpgs drop
Based on all the information you have, can you make any conclusions about your two categories? If so, what conclusions can you make? If not, why not?
Answer:Yes, as the weight increases the mpgs drop
Analysis
Right click on the regression equation and select "Format Trendline". Explore the different variations of regression equations.
How would you determine which equation had the best relationship?
Back to Activity1Begin by examining the data set. Recognize how the data is recorded and how you may be able to use the given data to explore potential relationships between categories.
Scatterplot Questions
1. Create a scatterplot using categories that you feel may influence fuel efficiency. Answer the following questions.
Answer:Weight, Average MPGIdentify the two categories you chose and why you thought there might be a relationship between the two BEFORE creating the scatterplot?
Answer:X= Weight Y=Average MPG. Created that order to see the slopeCreate the scatterplot. Which category is your x-axis and which is your y-axis? Why did you create your scatterplot in that order?
Answer:Yes, the lighter the car the better the average mpgDo you believe there is a relationship between the two categories? Why or why not?
Answer:Negative slope, as the weight increases the mpgs dropIf there appears to be a relationship, does it have a positive or negative slope? What does this mean about the relationship between the two categories?
Regression Questions
Create the linear regession equation in Excel. Include both the equation and the r2 value on the graph. Answer the following questions.
Answer:The heavier the vehicle the lower the mpg.What is your regression equation? Explain what the equation means in relation to the categories.
Answer:0.7042 Yes,as the weight increases the mpgs dropWhat is your r2 value? Is this a strong correlation? Why or Why not?
Answer:Yes, as the weight increases the mpgs dropBased on all the information you have, can you make any conclusions about your two categories? If so, what conclusions can you make? If not, why not?
Analysis
Right click on the regression equation and select "Format Trendline". Explore the different variations of regression equations.
Answer:Linear 0.7042 Logarithmic 0.7563 Exponetial 0.7414How would you determine which equation had the best relationship?
Answer:Was the "Linear" option the optimal option? If so, why? If not, what was the better equation and why?
Attach your Scatter Plots and Regression Information. Make sure your X and Y axis are correctly labeled. You may use Screen Shots to do so.